Introduction to Set Theory, Revised and Expanded (Hardcover)

Karel Hrbacek

ISBN 10: 0824779150 / ISBN 13: 9780824779153

Editore: Taylor & Francis Inc, Bosa Roca, 1999

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Hardcover. For a one- or two-semester course, the third edition of this work covers the basics: relations, functions and orderings; finite, countable and uncountable sets; and cardinal and ordinal numbers. It also provides chapters to supplement the basic course or serve as a second-semester syllabus. It consolidates the material on real numbers in a single updated chapter, and gives end-of-section problems. A text for mathematics courses that covers the basics such as relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It includes material on normal forms and Goodstein sequences. It provides important ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780824779153

Dati bibliografici

Titolo: Introduction to Set Theory, Revised and ...

Casa editrice: Taylor & Francis Inc, Bosa Roca

Data di pubblicazione: 1999

Legatura: Hardcover

Condizione: new

Edizione: terza edizione

Descrizione articolo

Riassunto:

Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.

Contenuti:

Sets; relations, functions and orderings; natural numbers; finite, countable and uncountable sets; cardinal numbers; ordinal numbers; alephs; the axiom of choice; arithmetic of cardinal numbers; sets of real numbers; filters and ultrafilters; combinatorial set theory; large cardinals; the axiom of foundation; the axiomatic set theory.